GCF of 2056/122, 6687/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2056/122, 6687/710 i.e 1/43310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2056/122, 6687/710.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2056/122,6687/710?
Given fractions are 2056/122,6687/710
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2056/122,6687/710, numerators are 2056,6687
Denominators are 122,710
The GCF of 2056,6687 is 1 .
LCM of 122,710 is 43310.
The greatest common factor of 2056/122,6687/710 = [GCF of 2056,6687]/[LCM of 122,710]= 1/43310
Therefore, the GCF of 2056/122,6687/710 is 1/43310.
To find the highest common factor of 2056,6687, we have to find the factors of both numbers and list the highest common factor.
The factors of 2056 are 1, 2, 4, 8, 257, 514, 1028, 2056
The factors of 6687 are 1, 3, 9, 743, 2229, 6687
The HCF of 2056,6687 is 1.
Lets's calculate GCF of 2056,6687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2056,6687 By Matching Biggest Common Factor Method
Now, list down the factors of 2056
:1,2,4,8,257,514,1028,2056
Now, list down the factors of 6687
:1,3,9,743,2229,6687
Greatest Common Factor
We found the factors 2056,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 2056,6687 is 1.
Lets's calculate LCM of 122,710
| 2 | 122, 710 |
| 61, 355 |
∴ So the LCM of the given numbers is 2 x 61 x 355 = 43310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43310
Therefore, the GCF of Fractions 2056/122,6687/710 is 1/43310
Least Common Multiple of 122,710 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 122,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,710) x common factors =2 x 1 = 2
LCM(122,710) = ( 122 × 710 ) / 2
LCM(122,710) = 86620 / 2
LCM(122,710) = 43310
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FAQs on GCF of Fractions of 2056/122, 6687/710
1. What is the HCF of 2056,6687?
The HCF of 2056,6687 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2056/122, 6687/710?
Answer: GCF of Numerators as per given numbers 2056/122, 6687/710 is
GCF of Numerators i.e. for 2056,6687 is 1
LCM of denominators i.e. for 122,710 is 43310.
Thus, GCF of Fractions is 1/43310.Finally, GCF of Fractions for 2056/122, 6687/710 is 1/43310.